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Finding the Fourth Proportional to 178,135.56, 245,708.80 and 114,553.80

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Solution

The fourth proportional to 178,135.56, 245,708.80 and 114,553.80 is: 158,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,135.56 : 245,708.80 = 114,553.80 : x
  2. Step 2: Convert to fraction form
    178,135.56/245,708.80 = 114,553.80/x
  3. Step 3: Cross multiply
    178,135.56x = 245,708.80 × 114,553.80
  4. Step 4: Simplify right side
    178,135.56x = 28,146,876,733.44
  5. Step 5: Solve for x
    x = 28,146,876,733.44/178,135.56
  6. Step 6: Final answer
    x = 158,008.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.